Aphex. Portale Italiano di Filosofia Analitica 21 (1):1-49 (2020)
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Megethology is the second-order theory of the part-whole relation developed by David Lewis, and it is obtained by combining plural quantification with classical extensional mereology. It can express some hypotheses about the size of the domain such as that there are inaccessibly many atoms. This will prove enough to get the orthodox set theory. Then, megethology is a possible foundation for mathematics. This paper is an introduction to megethology.



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Massimiliano Carrara
University of Padua
Filippo Mancini
University of Padua

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